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Finding the Fourth Proportional to 119,272.50, 164,422.59 and 83,350.98

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Solution

The fourth proportional to 119,272.50, 164,422.59 and 83,350.98 is: 114,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,272.50 : 164,422.59 = 83,350.98 : x
  2. Step 2: Convert to fraction form
    119,272.50/164,422.59 = 83,350.98/x
  3. Step 3: Cross multiply
    119,272.50x = 164,422.59 × 83,350.98
  4. Step 4: Simplify right side
    119,272.50x = 13,704,784,010.64
  5. Step 5: Solve for x
    x = 13,704,784,010.64/119,272.50
  6. Step 6: Final answer
    x = 114,903.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.